Fermi coordinates and modified Franklin transformation: a comparative study on rotational phenomena

Ramezani-Aval, H.

doi:10.1140/epjc/s10052-014-3128-4

Cited by 8 publications

(9 citation statements)

References 29 publications

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“…This conclusions reinforce the claim that correspondence between vacuum states defined via canonical field theory and via a detector is broken for rotating observers [9,11]. Following our comparative study in [20], here we showed that employing MFT instead of the SRT helps to investigate the Unruh effect in canonical approach. It must be emphasized that in these relativistic transformations the upper limit for the velocity of the disk points (speed of light) is considered and unlike [10] there is no need to confine the detector inside a light cylinder.…”

Section: Discussionsupporting

confidence: 86%

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The Unruh effect for eccentric uniformly rotating observers

Ramezani-Aval

2018

Int. J. Mod. Phys. D

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It is common to use Galilean rotational transformation to investigate the Unruh effect for uniformly rotating observers. However, the rotating observer in this subject is an eccentric observer while Galilean rotational transformation is only valid for centrally rotating observers. Thus, the reliability of the results of applying Galilean rotational transformation to the study of the Unruh effect might be considered as questionable. In this work the rotational analog of the Unruh effect is investigated by employing two relativistic rotational transformations corresponding to the eccentric rotating observer, and it is shown that in both cases the detector response function is non-zero. It is also shown that although consecutive Lorentz transformations can not give a frame within which the canonical construction can be carried out, the expectation value of particle number operator in canonical approach will be zero if we use modified Franklin transformation. These conclusions reinforce the claim that correspondence between vacuum states defined via canonical field theory and a detector is broken for rotating observers. Some previous conclusions are commented on and some controversies are also discussed. * Electronic address: ramezani@gonabad.ac.ir

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Section: Discussionsupporting

confidence: 86%

“…Such detectors are the ones which are related to the real experimental setups. As we have shown in [20] there are two type of relativistic rotational transformations to describe the relation between this rotating observer (detector) and laboratory inertial observer:…”

Section: Relativistic Transformations For Eccentric Uniformly Ro-mentioning

confidence: 99%

The Unruh effect for eccentric uniformly rotating observers

Ramezani-Aval

2018

Int. J. Mod. Phys. D

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“…The relation between length measurements by the inertial and rotating observers, based on MFT and hypothesis of locality [31], are discussed and compared in [32].…”

Section: A Spatial Line Element and Spatial Distancesmentioning

confidence: 99%

On Franklin’s relativistic rotational transformation and its modification

Ramezani-Aval

Gharechahi

2014

Eur. Phys. J. C

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Unlike the Lorentz transformation which replaces the Galilean transformation among inertial frames at high relative velocities, there seems to be no such a consensus in the case of coordinate transformation between inertial frames and uniformly rotating ones. There have been some attempts to generalize the Galilean rotational transformation to high rotational velocities. Here we introduce a modified version of one of these transformations proposed by Philip Franklin in 1922. The modified version is shown to resolve some of the drawbacks of the Franklin transformation, specially with respect to the corresponding spacetime metric in the rotating frame. This new transformation introduces non-inertial eccentric observers on a uniformly rotating disk and the corresponding metric in the rotating frame is shown to be consistent with the one obtained through Galilean rotational transformation for points close to the rotation axis. Employing the threading formulation of spacetime decomposition, spatial distances and time intervals in the spacetime metric of a rotating observer's frame are also discussed.

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“…The boundary conditions that is defined in Eqs. (12) and (14) are used to find these two coefficients as…”

Section: Scattering By An E-wave (Tm-mode)mentioning

confidence: 99%

“…Also, the measurement results [9] concluded that the strong "Doppler shifted" harmonics of the rotation frequency show up during the rotation of a smooth metallic cylinder, but it is required to have a mathematical expression to explain this phenomenon. In this work, the Franklin transformation is used to investigate the influence of the rotation of the conducting cylinder instead of Galilean transformation because the Franklin transformation gives accurate relation between the stationary frame and the rotating frame [10][11][12]. Also, the velocity of the rotating frame is defined as v(r) = ctanh(r/c), where  is the angular velocity of the rotation and c is the speed of light.…”

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confidence: 99%

Simulation of the Scattered EM Field of a Rotating Conducting Cylinder Using Static Data

Abuhdima¹,

Penno²

2017

JEPE

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Abstract:The effect of the rotation of a very good conducting cylinder on the backscattered field will be investigated where the incident wave is considered as a plane wave in both polarizations (E-wave and H-wave). Previous work has explained that rotation or vibration of the object may induce phase changes of the scattered signal. Modulation during rotation or vibration is referred to as micro-Doppler effect. Also, the effect of the rotation of a conducting cylinder was investigated by many researchers in the past using the Galilean transformation. These analyses conclude that the effect of rotation does not exist in the case of a perfectly conducting cylinder in both polarizations. In this work, the Franklin transformation is used instead of the Galilean transformation to analyze scattering of both types of electromagnetic waves (H-wave and E-wave) by rotating a very good circular conducting cylinder. This work shows that the scattered field is affected by the rotation of a very good conducting cylinder, especially in the case of H-wave (TE-mode). Finally, the model that will be presented is used to simulate rotation using static backscattered field data of an arbitrary object.

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Fermi coordinates and modified Franklin transformation: a comparative study on rotational phenomena

Cited by 8 publications

References 29 publications

The Unruh effect for eccentric uniformly rotating observers

The Unruh effect for eccentric uniformly rotating observers

On Franklin’s relativistic rotational transformation and its modification

Simulation of the Scattered EM Field of a Rotating Conducting Cylinder Using Static Data

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